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Prime and Composite Numbers

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    Before we discuss Prime and Composite Numbers, we should take note that in this topic our desired quotients would be focused on Natural Numbers.   Now, let us begin to know what are Prime Numbers and Composite Numbers. Prime Numbers     These are numbers whose divisors are only 1 and itself. Example: 1. The number 2 is a prime number.  \[\frac{2}{2}=1\]                 \[\frac{2}{1}=2\]     Since there are no more divisors that can divide 2, we can say that 2 is a prime number. 2. The number 5 is a prime number. \[\frac{5}{1}=5\] \[\frac{5}{5}=1\]        If we try to divide 5 by 4, 3 and 2, we will not obtain a Natural Number answer. Since the only divisors for 5 is 1 and itself, we can say that 5 is a prime number. Composite Numbers     These are numbers that has other divisors other than 1 and itself.  Example: 1. The number 6 is a composite number. \[\frac{6}{1}=6\] \[\frac{6}{2}=3\] \[\frac{6}{3}=2\] \[\frac{6}{6}=1\]     Since 6 appears to have other divisors   other than 1 a

Multiplying Binomials: FOIL Method

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     FOIL Method is a method used to multiply two binomials. FOIL is an abbreviation used to identify the terms to be multiplied in the binomials. The meaning of the letters of the FOIL are as follows: F - First Terms O - Outer Terms I - Inner Terms L - Last Terms Here are some examples on how to multiply binomials using FOIL Method: Example 1     Since the given are binomials, (x-3) and (x+2), we can use the FOIL Method here. Following the order of FOIL we have: F - (x)(x) O - (x)(2) I - (-3)(x) L - (-3)(2) Getting the products on each term, we will have   \[\large x^{2}+2x-3x-6\]  Combining similar terms, 2x and -3x, we will have \[\large x^{2}-x-6\] Example 2     Since the given are binomials, (x+5) and (x+9), we can use the FOIL Method here. Following the order of FOIL we have: F - (x)(x) O - (x)(4) I - (5)(x) L - (5)(9) Getting the products on each term, we will have   \[\large x^{2}+9x+5x+45\]  Combining similar terms, 2x and -3x, we will have \[\large x^{2}+14x+45\] Example 3  S

Parts of A Right Triangle

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   Parts of a Right Triangle The  hypotenuse  is the longest side in a right triangle. It is also the side opposite the right angle. The  legs  are the sides that make the right angle. These sides are also perpendicular to each other.